Formally Verifying the Long Division Algorithm with Hoare Logic

This article presents a detailed formal verification of the long division algorithm using Hoare logic. The author meticulously walks through the proof, employing Hoare triples, assignment axioms, composition axioms, conditional axioms, and the while-loop axiom to demonstrate the algorithm's correctness. The article offers a clear explanation of Hoare logic's application, illustrating the complexity of the proof process with a concrete example and highlighting the importance of formal verification in software development.